Finite Group Databasebeta

← Group #104240

Character table — Group #104240

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111122224444448881616161616161616161616161616161616161616161616163232
order12222222222244444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ922222222222222-2-2-2-22-2-2000022-2-2000000000000000000
χ1022222222222222-2-2-2-22-2-20000-2-222000000000000000000
χ11222222222222-2-222-2-2-22-20000000022-2-200000000000000
χ12222222222222-2-222-2-2-22-200000000-2-22200000000000000
χ13222222222222-2-2-2-222-2-2222-2-20000000000000000000000
χ14222222222222-2-2-2-222-2-22-2-2220000000000000000000000
χ1522222222-2-2-2-22222-2-2-2-22000000000000000022-2-2000000
χ1622222222-2-2-2-22222-2-2-2-220000000000000000-2-222000000
χ1722222222-2-2-2-222-2-222-22-20000000000000000000000002-2
χ1822222222-2-2-2-222-2-222-22-2000000000000000000000000-22
χ1922222222-2-2-2-2-2-222222-2-20000000000000000000022-2-200
χ2022222222-2-2-2-2-2-222222-2-200000000000000000000-2-22200
χ2122222222-2-2-2-2-2-2-2-2-2-22220000000000002i2i−2i−2i0000000000
χ2222222222-2-2-2-2-2-2-2-2-2-2222000000000000−2i−2i2i2i0000000000
χ23444-4-4-44-444-4-40000000000000000000002-22-20000000000
χ24444-4-4-44-444-4-4000000000000000000000-22-220000000000
χ25444-4-4-44-4-4-4440000000000000000000002i−2i−2i2i0000000000
χ26444-4-4-44-4-4-444000000000000000000000−2i2i2i−2i0000000000
χ2744-444-4-4-400004-40000000000000002-22-200000000000000
χ2844-444-4-4-400004-4000000000000000-22-2200000000000000
χ2944-444-4-4-40000-440000000000000002-2-2200000000000000
χ3044-444-4-4-40000-44000000000000000-222-200000000000000
χ3144-4-4-44-440000004i−4i000002-22i−2i0000000000000000000000
χ3244-4-4-44-440000004i−4i00000-22−2i2i0000000000000000000000
χ3344-4-4-44-44000000−4i4i000002-2−2i2i0000000000000000000000
χ3444-4-4-44-44000000−4i4i00000-222i−2i0000000000000000000000
χ354-444-44-4-44-44-400000000000000000000000002-22-2000000
χ364-444-44-4-44-44-40000000000000000000000000-22-22000000
χ374-444-44-4-4-44-4400000000000000000000000002-2-22000000
χ384-444-44-4-4-44-440000000000000000000000000-222-2000000
χ394-44-44-4-444-4-44000000000000000000000000000002i−2i2i−2i00
χ404-44-44-4-444-4-4400000000000000000000000000000−2i2i−2i2i00
χ414-44-44-4-44-444-4000000000000000000000000000002i−2i−2i2i00
χ424-44-44-4-44-444-400000000000000000000000000000−2i2i2i−2i00
χ434-4-44-4-444000000004-400000002-22-2000000000000000000
χ444-4-44-4-444000000004-40000000-22-22000000000000000000
χ454-4-44-4-44400000000-4400000002-2-22000000000000000000
χ464-4-44-4-44400000000-440000000-222-2000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).